粘弹性固体的往复接触理论
Theory of Reciprocating Contact for Viscoelastic Solids
摘要：
本文提出了线粘弹性材料的往复接触理论。结果进行了讨论的情况下，刚性球正弦驱动的粘弹性半空间滑动接触。根据接触的大小、往复运动的频率和振幅以及粘弹性体的松弛时间，我们确定接触行为的范围可以从稳态粘弹性解（其中牵引力总是与滑动刚性冲头的方向相反）到以前从未观察到的更复杂的趋势，这是由于在往复运动期间所覆盖的路径的不同区域之间的强相互作用。实际意义跨越了许多应用，从地震工程到生物技术。
英文摘要：
A theory of reciprocating contacts for linear viscoelastic materials is presented. Results are discussed for the case of a rigid sphere sinusoidally driven in sliding contact with a viscoelastic half-space. Depending on the size of the contact, the frequency and amplitude of the reciprocating motion, and on the relaxation time of the viscoelastic body, we establish that the contact behavior may range from the steady-state viscoelastic solution, in which traction forces always oppose the direction of the sliding rigid punch, to a more elaborate trend, never observed before, which is due to the strong interaction between different regions of the path covered during the reciprocating motion. Practical implications span a number of applications, ranging from seismic engineering to biotechnology.
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